2017
Том 69
№ 9

All Issues

Boundary Versions of the Worpitzky Theorem for Two-Dimensional Continued Fractions

Kuchmins’ka Kh. Yo.

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Abstract

For a two-dimensional continued fraction another generalization of the Worpitzky theorem is proved and the limit sets are proposed for Worpitzky-like theorems in the case where the element sets of the twodimensional continued fraction are replaced by their boundaries.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 8, pp 1236-1247.

Citation Example: Kuchmins’ka Kh. Yo. Boundary Versions of the Worpitzky Theorem for Two-Dimensional Continued Fractions // Ukr. Mat. Zh. - 2014. - 66, № 8. - pp. 1106–1116.

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